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1313330024241 = 32915715935957
BaseRepresentation
bin10011000111001000100…
…100011100111100110001
311122112221020010211211200
4103013020210130330301
5133004144441233431
62443200244201413
7163612354004664
oct23071044347461
94575836124750
101313330024241
11466a86618754
12192647699269
1396b00979c51
14477cbaa16db
1524269316ee6
hex131c891cf31

1313330024241 has 12 divisors (see below), whose sum is σ = 1897239543732. Its totient is φ = 875457678816.

The previous prime is 1313330024231. The next prime is 1313330024261. The reversal of 1313330024241 is 1424200333131.

It is a happy number.

1313330024241 is a `hidden beast` number, since 1 + 313 + 3 + 300 + 2 + 4 + 2 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 445816613025 + 867513411216 = 667695^2 + 931404^2 .

It is not a de Polignac number, because 1313330024241 - 27 = 1313330024113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313330024231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7885566 + ... + 8050391.

It is an arithmetic number, because the mean of its divisors is an integer number (158103295311).

Almost surely, 21313330024241 is an apocalyptic number.

It is an amenable number.

1313330024241 is a deficient number, since it is larger than the sum of its proper divisors (583909519491).

1313330024241 is a wasteful number, since it uses less digits than its factorization.

1313330024241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945120 (or 15945117 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1313330024241 its reverse (1424200333131), we get a palindrome (2737530357372).

The spelling of 1313330024241 in words is "one trillion, three hundred thirteen billion, three hundred thirty million, twenty-four thousand, two hundred forty-one".

Divisors: 1 3 9 9157 27471 82413 15935957 47807871 143423613 145925558249 437776674747 1313330024241